Vibration of spring-supported masslessbeams with discrete masses

Kui Fu Chen; Lin Nan Zhang; Zhe Zhou

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Vibration of spring-supported masslessbeams with discrete masses

机译：具有离散质量的弹簧支撑无质量梁的振动

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摘要

Versatile examples are essential on any engineering vibration course. However, most examples in current textbooks, especially those of multi-degree-of-freedom systems, are based on mass-spring systems. The system of spring-supported beams is explored in this report with the purpose of developing enriching examples. Firstly, the method using the stiffness influence coefficient is illustrated in order to establish a vibration equation for a beam with three discrete masses. This is followed by methods using the flexibility influence coefficient. Then we analyze a general case, with an arbitrary number of springs and masses, using the energy method. Finally, a reduced case with repeated natural frequencies is explored.

机译：各种示例对于任何工程振动过程都是必不可少的。但是，当前教科书中的大多数示例，尤其是多自由度系统的示例，都是基于质量弹簧系统。本报告探讨了弹簧支撑梁的系统，目的是开发丰富的示例。首先，说明了使用刚度影响系数的方法，以建立具有三个离散质量的梁的振动方程。接下来是使用柔韧性影响系数的方法。然后，我们使用能量方法分析具有任意数量的弹簧和质量的一般情况。最后，研究了具有重复固有频率的简化案例。

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来源
《International Journal of Mechanical Engineering Education》 |2010年第2期|p.117-131|共15页
作者
Kui Fu Chen; Lin Nan Zhang; Zhe Zhou;
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作者单位

PB 74#, East Campus, College of Science, China Agricultural University, Beijing, 100083,People's Republic of China;

PB 74#, East Campus, College of Science, China Agricultural University, Beijing, 100083,People's Republic of China;

PB 74#, East Campus, College of Science, China Agricultural University, Beijing, 100083,People's Republic of China;

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原文格式 PDF
正文语种 eng
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关键词
beam; vibration equation; repeated natural frequency; flexibility influence coefficient; stiffness influence coefficient;

机译：光束;振动方程重复的固有频率;柔韧性影响系数;刚度影响系数;

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专利

1. Vibration of spring-supported massless beams with discrete masses [J] . Kui Fu Chen, Lin Nan Zhang, Zhe Zhou International Journal of Mechanical Engineering Education . 2010,第1期

机译：具有离散质量的弹簧支撑无质量梁的振动
2. An asymptotic study of the linear vibrations of a stretched beam with concentrated masses and discrete elastic supports [J] . L. I. Manevitch, V. G. Oshmyan Journal of Sound and Vibration . 1999,第5期

机译：具有集中质量和离散弹性支撑的拉伸梁的线性振动的渐近研究
3. Nonlinear vibrations of spring-supported axially moving string [J] . Kesimli A., Ozkaya E., Bagdatli S. M. Nonlinear dynamics . 2015,第3期

机译：弹簧支撑的轴向运动弦的非线性振动
4. Transverse vibrations of linear beam system carrying elastically mounted series of discrete masses [C] . S. Arkhipov International conference on experimental mechanics . 2010

机译：带有弹性安装的一系列离散质量的线性梁系统的横向振动
5. Discrete element models for granular materials and rock masses. [D] . Barbosa-Carrillo, Ricardo E. 1990

机译：颗粒材料和岩体的离散元素模型。
6. Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear Schrödinger equations [O] . Simeng Li, Nianbei Li -1

机译：一维类FPU离散非线性Schrödinger方程中的重新归一化振动和正常能量传输
7. A cyclosymmetric beam model and a spring-supported annular plate model for automotive disc brake vibration [O] . Boennen Dennis, Walsh Stephen J. 2012

机译：汽车盘式制动器振动的对称梁模型和弹簧支撑的环形板模型
8. A Study of the Hydroelastic Vibrations of Spring-Supported Cylinders in a Steady Fluid Stream Due to Vortex Shedding [R] . Glass, R. J. 1970

机译：涡旋脱落稳态流中弹簧支承缸的水弹性振动研究

Vibration of spring-supported masslessbeams with discrete masses

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